# Rectangular Box

**Problem**

Mar wants to make a box with no lid from a rectangular sheet of cardboard that is 18 inches by 24 inches. The box is to be made by cutting a square of side *x* from each corner of the sheet and folding up the sides. Find the value of *x* that maximizes the volume of the box.

A. 4.3 inches | C. 10.6 inches |

B. 5.2 inches | D. 3.4 inches |

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## 019 Review Problem - Which buy is more economical?

**Problem 19**

A druggist sells a certain kind of powder in a rectangular box 4 by 2 by 1 in. for 25 cents, and in a cylindrical can 2½ in. high and 2½ in. in diameter for 10 cents. Which is the more economical buy?

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